What is the difference between the Amazon rainforest and the Atacama Desert?

Both of them owe their existence to the Andes Mountains and both are high plateaus between two mountain ranges.

The Altiplano is much colder than the Atacama Desert.
The Altiplano receives more precipitation than the Atacama Desert.
The Altiplano has considerably more vegetation than the Atacama Desert.
The Altiplano has a much higher average elevation than the Atacama Desert.